What is factor (x^2-3x)-36 ?

The solution to factor (x^2-3x)-36 is (x-(3(sqrt(17)+1))/2)(x+(3(sqrt(17)-1))/2)

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factor (x^2-3x)-36

factor

(x^{2} - 3 x) - 36

(x - \frac{3 ( 17 + 1 )}{2}) (x + \frac{3 ( 17 - 1 )}{2})

Solution steps

(x^{2} - 3 x) - 36

Remove parentheses:

(a) = a

= x^{2} - 3 x - 36

Solve

x^{2} - 3 x - 36 = 0 : x = \frac{3 + 3 17}{2}, x = \frac{3 - 3 17}{2}

Polynom can therefore be factored into

= (x - (\frac{3 + 3 17}{2})) (x - (\frac{3 - 3 17}{2}))

Refine

= (x - \frac{3 + 3 17}{2}) (x - \frac{3 - 3 17}{2})

Factor

3 + 317 : 3 (17 + 1)

= (x - \frac{3 ( 1 + 17 )}{2}) (x - \frac{3 - 3 17}{2})

Factor

3 - 317 : - 3 (17 - 1)

= (x - \frac{3 ( 1 + 17 )}{2}) (x - \frac{- 3 ( 17 - 1 )}{2})

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= (x - \frac{3 ( 1 + 17 )}{2}) (x - (- \frac{3 ( 17 - 1 )}{2}))

Apply rule

- (- a) = a

= (x - \frac{3 ( 17 + 1 )}{2}) (x + \frac{3 ( 17 - 1 )}{2})

\frac{3 x + 9}{6 x + 10}

(6 x) d x

4 x^{6} - 20 x

x^{2 + 2 x + 1}

\frac{d}{d t} ((r) (r cos (t)))

What is factor (x^2-3x)-36 ?
The solution to factor (x^2-3x)-36 is (x-(3(sqrt(17)+1))/2)(x+(3(sqrt(17)-1))/2)